GCD of 345, 525, 270, 450 Calculator

Given Input numbers are 345, 525, 270, 450

In the factoring method, we have to find the divisors of all numbers

Divisors of 345 :

The positive integer divisors of 345 that completely divides 345 are.

1, 3, 5, 15, 23, 69, 115, 345

Divisors of 525 :

The positive integer divisors of 525 that completely divides 525 are.

1, 3, 5, 7, 15, 21, 25, 35, 75, 105, 175, 525

Divisors of 270 :

The positive integer divisors of 270 that completely divides 270 are.

1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 90, 135, 270

Divisors of 450 :

The positive integer divisors of 450 that completely divides 450 are.

1, 2, 3, 5, 6, 9, 10, 15, 18, 25, 30, 45, 50, 75, 90, 150, 225, 450

GCD of numbers is the greatest common divisor

So, the GCD (345, 525, 270, 450) = 15.

Given numbers are 345, 525, 270, 450

The list of prime factors of all numbers are

Prime factors of 345 are 3 x 5 x 23

Prime factors of 525 are 3 x 5 x 5 x 7

Prime factors of 270 are 2 x 3 x 3 x 3 x 5

Prime factors of 450 are 2 x 3 x 3 x 5 x 5

The highest common occurrence is 3¹ x 5¹

Therefore, GCD of 345, 525, 270, 450 is 15.

Given numbers are 345, 525, 270, 450

GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)

Apply this formula for all numbers.

Step1:

LCM(345, 525) = 12075

GCD(345, 525) = ( 345 x 525 ) / 12075

= 345 / 525

= 345

Step2:

LCM(15, 270) = 270

GCD(15, 270) = ( 15 x 270 ) / 270

= 15 / 270

= 15

Step3:

LCM(15, 450) = 450

GCD(15, 450) = ( 15 x 450 ) / 450

= 15 / 450

= 15

So, Greatest Common Divisor of 345, 525, 270, 450 is 15

Here are some samples of GCD of Numbers calculations.

• GCD of 446, 272, 549, 669
• GCD of 351, 722, 459, 401
• GCD of 263, 293, 970, 903
• GCD of 790, 554, 731, 225
• GCD of 494, 359, 388, 224

Given numbers are 345, 525, 270, 450
The greatest common divisor of numbers 345, 525, 270, 450 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 345, 525, 270, 450 is 15.

1. What is the GCD of 345, 525, 270, 450?

GCD of given numbers 345, 525, 270, 450 is 15

2. How to calculate the greatest common divisor of 345, 525, 270, 450?

We can find the highest common divisor of 345, 525, 270, 450 easily using the prime factorization method. Just list the prime factors of all numbers and pick the highest common factor which is the GCD of 345, 525, 270, 450 i.e 15.

3. How can I use the GCD of 345, 525, 270, 450Calculator?

Out the numbers 345, 525, 270, 450 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.